Jagiellonian University Repository
Modelling control of epidemics spreading by long-range interactions
Communities & Collections
pcg.skipToMenu
Modelling control of epidemics spreading by long-range interactions
Bibliographic description
| title: | Modelling control of epidemics spreading by long-range interactions |
| author: | Dybiec Bartłomiej  , Kleczkowski Adam, Gilligan Christopher A. |
| journal title: | Journal of the Royal Society Interface |
| volume: | 6 |
| issue: | 39 |
| date of publication : | 2009 |
| pages: | 941-950 |
| ISSN: |
1742-5689 |
| eISSN: |
1742-5662 |
| DOI: | |
| language: | English |
| journal language: | English |
| abstract in English: | We have studied the spread of epidemics characterized by a mixture of local and non-local interactions. The infection spreads on a two-dimensional lattice with the fixed nearest neighbour connections. In addition, long-range dynamical links are formed by moving agents (vectors). Vectors perform random walks, with step length distributed according to a thick-tail distribution. Two distributions are considered in this paper, an alpha-stable distribution describing self-similar vector movement, yet characterized by an infinite variance and an exponential power characterized by a large but infinite variance. Such long-range interactions are hard to track and make control of epidemics very difficult. We also allowed for cryptic infection, whereby an infected individual on the lattice can be infectious prior to showing any symptoms of infection or disease. To account for such cryptic spread, we considered a control strategy in which not only detected, i.e. symptomatic, individuals but also all individuals within a certain control neighbourhood are treated upon the detection of disease. We show that it is possible to eradicate the disease by using such purely local control measures, even in the presence of long-range jumps. In particular, we show that the success of local control and the choice of the optimal strategy depend in a non-trivial way on the dispersal patterns of the vectors. By characterizing these patterns using the stability index of the alpha-stable distribution to change the power-law behaviour or the exponent characterizing the decay of an exponential power distribution, we show that infection can be successfully contained using relatively small control neighbourhoods for two limiting cases for long-distance dispersal and for vectors that are much more limited in their dispersal range. |
| keywords in English: | epidemiological modelling, disease spread, stochastic modelling, epidemiological control, dispersal patterns |
| number of pulisher's sheets: | 1,2 |
| affiliation: | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego |
| type: | journal article |
| subtype: | academic paper |
Files in this item
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||
This item appears in the following Collection(s)
Projekt „Repozytorium otwartego dostępu do dorobku naukowego i dydaktycznego UJ” współfinansowany w ramach poddziałania 2.3.1 „Cyfrowe udostępnianie zasobów nauki” Programu Operacyjnego Polska Cyfrowa z Europejskiego Funduszu Rozwoju Regionalnego i budżetu państwa na podstawie umowy o dofinansowanie nr POPC.02.03.01-00-0030/17-00
